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Finding the Fourth Proportional to 81,931.60, 122,767.80 and 68,712.40

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Solution

The fourth proportional to 81,931.60, 122,767.80 and 68,712.40 is: 102,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,931.60 : 122,767.80 = 68,712.40 : x
  2. Step 2: Convert to fraction form
    81,931.60/122,767.80 = 68,712.40/x
  3. Step 3: Cross multiply
    81,931.60x = 122,767.80 × 68,712.40
  4. Step 4: Simplify right side
    81,931.60x = 8,435,670,180.72
  5. Step 5: Solve for x
    x = 8,435,670,180.72/81,931.60
  6. Step 6: Final answer
    x = 102,959.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.